Write the following fraction proportions as ratio proportions.

glasskerfu 2021-09-11 Answered
Write the following fraction proportions as ratio proportions.
\(\displaystyle{\frac{{{36}}}{{{12}}}}={\frac{{{72}}}{{{24}}}}\)

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Expert Answer

smallq9
Answered 2021-09-12 Author has 12178 answers
Consider the following proportion:
\(\displaystyle{\frac{{{36}}}{{{12}}}}={\frac{{{72}}}{{{24}}}}\)
The objective is to write the given proportion in the form of a ratio.
If an equation showing the equality of two ratios, then the ratios are called as a proportion.
For example: \(\displaystyle{x}\div{y}={m}\div{n}\) or \(\displaystyle{\frac{{{x}}}{{{y}}}}={\frac{{{m}}}{{{n}}}}\)
To write the proportion as a ratio, convert both the fractions in the form of a ratio, \(\displaystyle{A}\div{B}\), without reducing the fractions to their lowest terms.
The conversion of \(\displaystyle{\frac{{{36}}}{{{12}}}}={\frac{{{72}}}{{{24}}}}\) into a ratio is,
\(\displaystyle{36}\div{12}={72}\div{24}\)
Therefore, the proportion in the form of a ratio is \(\displaystyle{36}\div{12}={72}\div{24}\).
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